Finding the Third Proportional to 143,581 and 315,686

Step by Step Solution

1. Step 1: Write the proportion equation
   143,581 : 315,686 = 315,686 : x
2. Step 2: Convert to fraction form
   143,581/315,686 = 315,686/x
3. Step 3: Cross multiply
   143,581x = 315,686 × 315,686
4. Step 4: Simplify right side
   143,581x = 99,657,650,596
5. Step 5: Solve for x
   x = 99,657,650,596/143,581
6. Step 6: Final answer
   x = 694,086.62